Answer:(8, 5): No(8, 0): Yes(4, -2): Yes(-6, -4) NoStep-by-step explanation:For this question, it is very easy, you just substitute the values under (x,y) into the equation aboveThe equation is: 3x - 7y > 10And the x and y values are(x, y)(8, 5)(8, 0)(4, -2)(-6, -4)x values: 8, 8, 4, -6y values: 5, 0, -2, -4An ordered pair tells you the location of a point by relating the point's location along the x-axis (the first value of the ordered pair) and along the y-axis (the second value of the ordered pair). In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.Now that we know everything, we set up the equation to see if the ordered pair is a solution or not3x - 7y > 10Let's substitute (8, 5) into the equation3(8) - 7(5) > 10Multiply the numbers3(8) becomes 24 and -7(5) becomes -3524 - 35 > 10-11 > 10FalseSo the ordered pair (8,5) is not a solution to the equationNow for the next ordered pair: (8, 0)3x - 7y > 10Let's substitute (8, 0) into the equation3(8) - 7(0) > 103(8) becomes 24 and -7(0) becomes 024 - 0 > 1024 > 10TrueSo the ordered pair (8, 0) is a solution to the equationNow for the next ordered pair: (4, -2)3x - 7y > 10Let's substitute (4, -2) into the equation3(4) - 7(-2) > 103(4) becomes 12 and -7(-2) becomes a positive 14, and remember that a negative times a negative becomes a positive12 + 14 > 1026 > 10TrueSo the ordered pair (4, -2) is a solution to the equationNow for the next ordered pair: (-6, -4)3x - 7y > 10Let's substitute (-6, -4) into the equation3(-6) - 7(-4) > 103(-6) becomes -18 and -7(-4) becomes a positive 28-18 + 28 > 1010 > 10False Since they are the same number, they should be equal toSo the ordered pair (-6, -4) is not a solution to the equation